Question

Find the cost of fencing a rectangular park of length 350 m and breadth 250 mat the rate of Rs. 18.50 per meter.

Answer 1

Hint: To solve this question, we will use the formula of perimeter of a rectangle. The perimeter of a rectangle is given by, Perimeter = 2 (l + b), where l is the length and b is the breadth of the rectangle.

Complete step by step answer:
Given that,
Length of rectangle = 350 m.
Breadth of rectangle = 250 m.
We know that,

Perimeter of a rectangle is given by,
$ \Rightarrow $ P = 2 ( length + breadth ).
The total perimeter of the rectangular park will be the total length of the fencing.
Therefore,
$ \Rightarrow $ Perimeter = 2 ( 350 m + 250 m ).
$ \Rightarrow $ Perimeter = 2 ( 600 m ).
$ \Rightarrow $ Perimeter = 1200 m.
So, the total fencing = 1200 m.
Now,
Given that the cost of the fencing is Rs. 18.50 per meter.
We have to find out the total cost of fencing of the rectangular park.
Therefore,
$ \Rightarrow $ Total cost of fencing = cost of fencing per meter $ \times $ total fencing.
$ \Rightarrow $ Total cost of fencing = 18.50 $ \times $ 1200.
$ \Rightarrow $ Total cost of fencing = Rs. 22,200.

Hence, we can say that the cost of fencing of the rectangular park is Rs. 22,200.

Note: Whenever we ask this type of question, we have to remember the formula of perimeter of given geometry. First, we have to find out the dimensions of the given geometry (shape) and then we will find out the perimeter of that shape by using the formula. After that, by multiplying the total perimeter with the cost per meter, we will get the required answer.